振動問題在許多工程領域是不可或缺的重要考量。對於多數的動力機械系統或是量測系統，振動現象的產生會導致動力機械系統的結構破壞以及量測系統的量測品質下降進而導致結構安全和量測的誤差，因此振動抑制為上述系統設計階段時的重要議題；反之，對於振動源獵能系統而言，振動的能量會直接影響機械能轉換成電能的效能，因此在激振頻率變化的環境中維持獵能系統的振動能量最大化為能源領域中重要的研究議題。本論文提出一種新式的半主動式振動控制機制，透過系統的位移響應的即時量測及可調控的片段線性剛性，實現各種結構系統於變動激振條件下的振動最佳化。
本論文所提出的振動控制機制，可於既有的結構上外加具有可變間隙的止動器，實現可調控的片段線性剛性，並藉由最佳間隙值的高效運算即時最佳化結構系統的振動振幅。此振動控制機制透過量測結構的位移響應，並將即時量測資訊透過閉迴路控制機制進行片段線性結構的間隙最佳化計算，此控制機制可適應變動的激振條件並即時最佳化結構的振動效能。相較於傳統的半主動式振動控制方法，本論文所提出的技術既不用破壞既有的結構並低成本的優點。

Vibration is an essential and important consideration in many engineering fields. For most power mechanical systems and measurement systems, the vibration phenomenon will lead to structural damage and reduced quality of measurement; thus, vibration mitigation is an important task in the design phase of these systems. On the other hand, vibration amplification in varying excitation conditions is an important research topic in vibration energy harvesting. Magnifying vibration amplitude of the vibration energy harvester can increase the power generation efficiency. To solve the issues mentioned above, a new semi-active vibration control mechanism is proposed in this work to optimize vibration for structural systems in various application domains.
The vibration control mechanism proposed in this paper utilizes adjustable piecewise-linear stiffness to achieve optimized vibration control. The vibration control mechanism uses real-time measurement of the displacement of the structure, and the measured signal is then used to calculate the gap size of the piecewise-linear stiffness that can optimize the vibration response. The proposed control mechanism can adapt to varying excitation conditions. Compared with the traditional semi-active vibration control methods, the proposed mechanism can realize vibration control more efficiently without changing the design of existing structures.

摘要 I
ABSTRACT II
致謝 III
目錄 IV
圖目錄 VI
表目錄 XI
第一章 緒論 1
1.1
研究背景與動機 1
1.2
現有技術回顧 3
1.2.1
被動式振動控制 3
1.2.2
主動式振動控制 4
1.2.3
半主動式振動控制 5
1.2.4
振動放大控制 6
1.3
論文架構 8
第二章 研究方法 9
2.1
Generalized BFA演算法 9
2.2
振動控制策略 11
第三章 模擬與實驗結果 16
3.1
數值模擬結果 16
3.2
實驗設備及實作電路 38
3.3
實驗系統架設 44
3.4
建構懸臂樑的有限元素模型及GBFA 驗證 47
3.5
振動控制實驗 52
3.5.1
固定頻率 52
3.5.2
步階頻率變化 60
3.5.3
線性頻率變化 70
第四章 結論與未來展望 80
參考文獻 81

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